A continuous family of static spherically symmetric solutions of Einstein’s vacuum field equations with a spatial singularity at the origin \ is found. These solutions are parametrized by a real valued parameter \ and such that the radial horizon’s location is displaced continuously towards the singularity ) as \ increases. In the extreme limit \, the location of the singularity and horizon merges leading to a null singularity. In this extreme case, any infalling observer hits the null singularity at the (...) very moment he/she crosses the horizon. This fact may have important consequences for the resolution of the fire wall problem and the complementarity controversy in black holes. An heuristic argument is provided how one might avoid the Hawking particle emission process in this extreme case when the singularity and horizon merges. The field equations due to a delta-function point-mass source at \ are solved and the Euclidean gravitational action corresponding to those solutions is evaluated explicitly. It is found that the Euclidean action is precisely equal to the black hole entropy. This result holds in any dimensions \. (shrink)

Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set environment.

Recent years have seen a surge in accounts motivated by information theory that consider language production to be partially driven by a preference for communicative efficiency. Evidence from discourse production (i.e., production beyond the sentence level) has been argued to suggest that speakers distribute information across discourse so as to hold the conditional per-word entropy associated with each word constant, which would facilitate efficient information transfer (Genzel & Charniak, 2002). This hypothesis implies that the conditional (contextualized) probabilities of linguistic (...) units affect speakers’ preferences during production. Here, we extend this work in two ways. First, we explore how preceding cues are integrated into contextualized probabilities, a question which so far has received little to no attention. Specifically, we investigate how a cue's maximal informativity about upcoming words (the cue's effectiveness) decays as a function of the cue's recency. Based on properties of linguistic discourses as well as properties of human memory, we analytically derive a model of cue effectiveness decay and evaluate it against cross-linguistic data from 12 languages. Second, we relate the information theoretic accounts of discourse production to well-established mechanistic (activation-based) accounts: We relate contextualized probability distributions over words to their relative activation in a lexical network given preceding discourse. (shrink)

In “Backward Causation and the Stalnaker–Lewis Approach to Counterfactuals,” Analysis 62:191–7, (2002), Michael Tooley argues that if a certain kind of backward causation is possible, then a Stalnaker–Lewis comparative world similarity account of the truth conditions of counterfactuals cannot be sound. In “Tooley on Backward Causation,” Analysis 63:157–62, (2003), Paul Noordhof argues that Tooley’s example can be reconciled with a Stalnaker–Lewis account of counterfactuals if the comparative world similarity relation on which the Stalnaker–Lewis account relies is allowed to be antecedent- (...) class='Hi'>relative. In this paper I show that taking comparative world similarity to be antecedent-relative results in a formal semantics which is a comparative world similarity semantics in name only. (shrink)

Recent challenges to Chomsky's poverty of the stimulus thesis for language acquisition suggest that children's primary data may carry “indirect evidence” about linguistic constructions despite containing no instances of them. Indirect evidence is claimed to suffice for grammar acquisition, without need for innate knowledge. This article reports experiments based on those of, who demonstrated that a simple bigram language model can induce the correct form of auxiliary inversion in certain complex questions. This article investigates the nature of the indirect evidence (...) that supports this learning, and assesses how reliably it is available. Results confirm the original finding for one specific sentence type but show that the model's success is highly circumscribed. It performs poorly on inversion in related constructions in English and Dutch. Because other, more powerful statistical models have so far been shown to succeed only on the same limited subset of cases as the bigram model, it remains to be seen whether stimulus richness can be substantiated more generally. (shrink)

John of Ripa’s (fl. 1350s) Christology is highly unusual in the context of late medieval theology, since it is a form of the old “homo assumptus (assumed man)” Christology found in St. Augustine and the Victorines, but not generally in later theologians. Ripa explains the Incarnation by supposing that the divine essence is in some sense the form of the human nature, such that both “God” and the whole panoply of divine properties can be predicated of it. This move allows (...) Ripa to secure the truth of claims mandated by the authoritative Council of Chalcedon, such as “this human being is eternal.” Ripa appeals to a kind of relative identity to argue that the human being is (non-classically) identical with the divine person, such that positing something that “is God, but not the deity” does not result in an additional God or additional divine person. (shrink)

I investigate the consequences of interpreting Lehrer's account of system-relative justification as a theory of inductive inference. I discuss which assumptions about coherence would be sufficient to make the account of inductive inference derived from Lehrer's theory conform to a series of widely discussed general principles, including those constitutive of cumulative reasoning. I then discuss the epistemological significance of the resulting theory of inductive inference.

An English double-embedded relative clause from which the middle verb is omitted can often be processed more easily than its grammatical counterpart, a phenomenon known as the grammaticality illusion. This effect has been found to be reversed in German, suggesting that the illusion is language specific rather than a consequence of universal working memory constraints. We present results from three self-paced reading experiments which show that Dutch native speakers also do not show the grammaticality illusion in Dutch, whereas both (...) German and Dutch native speakers do show the illusion when reading English sentences. These findings provide evidence against working memory constraints as an explanation for the observed effect in English. We propose an alternative account based on the statistical patterns of the languages involved. In support of this alternative, a single recurrent neural network model that is trained on both Dutch and English sentences is shown to predict the cross-linguistic difference in the grammaticality effect. (shrink)

This chapter highlights a well-known problem for defenders of transubstantiation: namely, the apparent impossibility of supposing that accidents can be separated from their substance. It begins by arguing that Aquinas’s account of accidents, in which the truth-making function of accidents relative to their substances is understood in terms of the existence of such accidents, is highly susceptible to this kind of objection. The next section considers Giles of Rome’s attempts to overcome this worry, most specifically by distinguishing the existence (...) of an accident from its truth-making function, both of which are described. Giles maintains that the existence of an accident is to be identified with the existence of its substance. According to Scotus, this means that Giles is scarcely better off than Aquinas in defending himself against the worry about separated accidents, since a separated accident needs its own existence and, Scotus avers, there is no way for an accident to gain existence when separated. Scotus agrees with Giles that the truth-making function of accidents is to be distinguished from their existence, and holds that accidents, even when united to their substances, have their own proper existence. Overall, the tale is one of the increasing hypostatization of accidents in the light of pressures from Eucharistic doctrine. (shrink)

This paper compares the associative system of early-learned verbs and body parts in Hebrew with previously published data on American English (Maouene, Josita, Shohei Hidaka & Linda B. Smith. 2008. Body parts and early-learned verbs. Cognitive Science 32(7). 1200–1216). Following the methodology of the former study, 51 Hebrew-speaking college students gave the first body part that came to mind for each of 103 early-learned Hebrew verbs, 81 of which were translational equivalents. Rate of convergence and divergence and underlying patterns were (...) used to make inferences about the constraints at work. Overall convergence (92.3% of the Hebrew data and 93.7% of the English data) reveal similar entropy levels, comparable semantic field shapes of verbs organized by body parts and similar general cluster patterns of verbs by body parts. Most divergence lies in the infrequent responses (offered fewer than 1% of the time) which arise around body parts that are internal, very detailed, very general categorically, used in figurative language, uniquely provided and tend to be subject to cultural taboos. This is a new contribution, as previous work has not quantified the relative proportion of convergent to divergent associations. We discuss how these findings support neural and developmental continuity and stability in the verbal system with respect to the categorization of verbs by body parts cross-culturally. (shrink)

My goal in this dissertation is to start a conversation about the role of risk in the decision-theoretic assessment of partial beliefs or credences in formal epistemology. I propose a general theory of epistemic risk in terms of relative sensitivity to different types of graded error. The approach I develop is broadly inspired by the pragmatism of the American philosopher Charles Sanders Peirce and his notion of the ``economy of research.'' I express this framework in information-theoretic terms and show (...) that epistemic risk, so understood, is dual to information entropy. As a result, every unit increase in risk comes with a corresponding unit decrease in information entropy and epistemic risk may be expressed in terms of entropic change. I explain the significance of this for the selection of priors and the Laplacian principle of indifference. I also extend this notion of epistemic risk to the assessment of updating rules, where a similar duality between risk and information holds. In the dynamic context, epistemic risk is given by cross-entropic change. Here I explore the relationship between risk, the Value of Knowledge Theorem, dynamic coherence, and the role of expected accuracy in the selection of update rules. Finally, I apply these considerations to a social institution where attitudes to error are especially salient -- namely, legal decision-making -- and argue that considerations regarding the relative severity of different types of error are central to understanding evidentiary burdens of proof and the probative value of statistical evidence. (shrink)

As we age, many physical, perceptual and cognitive abilities decline, which can critically impact our day-to-day lives. However, the decline of many abilities is concurrent; thus, it is challenging to disentangle the relative contributions of different abilities in the performance deterioration in realistic tasks, such as road crossing, with age. Research into road crossing has shown that aging and a decline in executive functioning is associated with altered information sampling and less safe crossing decisions compared to younger adults. However, (...) in these studies declines in age and EFs were confounded. Therefore, it is impossible to disentangle whether age-related declines in EFs impact on visual sampling and road-crossing performance, or whether visual exploration, and road-crossing performance, are impacted by aging independently of a decline in EFs. In this study, we recruited older adults with maintained EFs to isolate the impacts of aging independently of a decline EFs on road crossing abilities. We recorded eye movements of younger adults and older adults while they watched videos of road traffic and were asked to decide when they could cross the road. Overall, our results show that older adults with maintained EFs sample visual information and make similar road crossing decisions to younger adults. Our findings also reveal that both environmental constraints and EF abilities interact with aging to influence how the road-crossing task is performed. Our findings suggest that older pedestrians' safety, and independence in day-to-day life, can be improved through a limitation of scene complexity and a preservation of EF abilities. (shrink)

Advances in machine learning and the development of very large knowledge graphs have accompanied a proliferation of ontologies of many types and for many purposes. These ontologies are commonly developed independently, and as a result, it can be difficult to communicate about and between them. To address this difficulty of communication, ontologies and the communities they serve must agree on how their respective terminologies and formalizations relate to each other. The process of coming into accord and agreement is called “harmonization.” (...) The Ontology Summit 2021 examined the overall landscape of ontologies, the many kinds of ontology generation and harmonization, as well as the sustainability of ontologies. The Communiqué synthesizes and summarizes the findings of the summit as well as earlier summits on related issues. One of the major impediments to harmonization is the relatively poor quality of natural language definitions in many ontologies. The summit surveyed the state of the art in natural language definition development, based on lexicographic principles, as well as examples of ongoing projects that are explicitly dealing with harmonization and sustainability. (shrink)

In the year ending March 2020, an estimated 773,000 people in England and Wales were sexually assaulted. These types of crimes have lasting effects on victims’ mental health, including depression, anxiety, and post-traumatic stress disorder. There is a large body of literature which identifies several factors associated with the likelihood of the victim reporting a sexual assault to the police, and these differences may be due to rape myth stereotypes which perpetuate the belief that rape is only “real” under certain (...) conditions. Less is known, however, about the effect these rape myths and stereotypes have on the investigation process itself and the subsequent police outcomes assigned to sex offences. This study aimed to address this gap, providing a profile of all RASSO (rape and serious sexual offences) committed over a 3-year period in one English police force, the police outcomes of these offences, and whether any offences, suspect, or victim variables were associated with different outcomes, in particular the decision to charge or cases where victims decline to prosecute. In line with previous research, the majority of victims were female while the majority of suspects were male, and the most frequent victim–suspect relationship was acquaintance, followed by partner/ex-partner. Charge outcomes were more likely in SSOs and less in rape offences, more likely with stranger offences and less likely than offences committed by partners/ex-partners and relatives, and some non-white suspects were more likely to be charged than suspects of other ethnicities, including white suspects. Victim attrition was more likely in cases where the suspect was a partner or ex-partner and least likely where the suspect was a stranger, more likely in SSOs than in rape cases, and more likely when the victim ethnicity was “other”. Law enforcement should be aware of the potential biases, both relating to rape myths and stereotypes and to the biased treatment of victims and suspects based on demographic characteristics, and work to eliminate these to ensure a fairer and more effective RASSO investigative process. (shrink)

An analysis of some of the applications of Clifford space relativity to the physics behind the modified black hole entropy-area relations, rainbow metrics, generalized dispersion and minimal length stringy uncertainty relations is presented.

Traditional diversity measures such as the Shannon entropy are generally computed from the species' relative abundance vector of a given community to the exclusion of species' absolute abundances. In this paper, I first mention some examples where the total information content associated with a given community may be more adequate than Shannon's average information content for a better understanding of ecosystem functioning. Next, I propose a parametric measure of statistical information that contains both Shannon's entropy and total (...) information content as special cases of this more general function. (shrink)

An extended scale relativity theory, actively developed by one of the authors, incorporates Nottale's scale relativity principle where the Planck scale is the minimum impassible invariant scale in Nature, and the use of polyvector-valued coordinates in C-spaces (Clifford manifolds) where all lengths, areas, volumes⋅ are treated on equal footing. We study the generalization of the ordinary point-particle quantum mechanical oscillator to the p-loop (a closed p-brane) case in C-spaces. Its solution exhibits some novel features: an emergence of two explicit scales (...) delineating the asymptotic regimes (Planck scale region and a smooth region of a quantum point oscillator). In the most interesting Planck scale regime, the solution recovers in an elementary fashion some basic relations of string theory (including string tension quantization and string uncertainty relation). It is shown that the degeneracy of the first collective excited state of the p-loop oscillator yields not only the well-known Bekenstein–Hawking area-entropy linear relation but also the logarithmic corrections therein. In addition we obtain for any number of dimensions the Hawking temperature, the Schwarschild radius, and the inequalities governing the area of a black hole formed in a fusion of two black holes. One of the interesting results is a demonstration that the evaporation of a black hole is limited by the upper bound on its temperature, the Planck temperature. (shrink)

In this article I look at CR (critical realism)1 as chiefly exhibited in the seminal theory of Ron Bhaskar – in particular, his early theory of transcendental realism. I examine its mechanisms of thought and pick out some difficulties with the theorisation relative to its deployment by OS theorists and relative to recent attempts to deploy CR as a theory which can bridge the fork in the constructivist and realist areas known as a form of ‘divide’ in the (...) discipline (fault line). I also try and attempt a more in-depth philosophical analysis of the ideas of CR to gain an insight into its nature and what it can offer both as an apodictic system of philosophical insights with aspects of a belief system – but also relative to its realist-related claims towards veridical knowledge of kinds. I make comparisons with other theorists and philosophers including Kant, Derrida, Hume and Aristotle. I close with insights into how a closer scrutiny of CR thought as it is entering OS is necessary to understand the evolving nature of the inter-relationship of ontology and the ontic, in relation to the fault line described. (shrink)

This essay is, primarily, a discussion of four results about the principle of maximizing entropy (MAXENT) and its connections with Bayesian theory. Result 1 provides a restricted equivalence between the two: where the Bayesian model for MAXENT inference uses an "a priori" probability that is uniform, and where all MAXENT constraints are limited to 0-1 expectations for simple indicator-variables. The other three results report on an inability to extend the equivalence beyond these specialized constraints. Result 2 established a sensitivity (...) of MAXENT inference to the choice of the algebra of possibilities even though all empirical constraints imposed on the MAXENT solution are satisfied in each measure space considered. The resulting MAXENT distribution is not invariant over the choice of measure space. Thus, old and familiar problems with the Laplacian principle of Insufficient Reason also plague MAXENT theory. Result 3 builds upon the findings of Friedman and Shimony (1971; 1973) and demonstrates the absence of an exchangeable, Bayesian model for predictive MAXENT distributions when the MAXENT constraints are interpreted according to Jaynes's (1978) prescription for his (1963) Brandeis Dice problem. Lastly, Result 4 generalizes the Friedman and Shimony objection to cross-entropy (Kullback-information) shifts subject to a constraint of a new odds-ratio for two disjoint events. (shrink)

ObjectiveTo determine the impact of the affiliate stigma on mental well-being of relatives caring for a person with dementia.DesignThe study was conducted in a cross sectional design.SettingThe study was conducted in a public setting, addressing relatives caring for a person with dementia.ParticipantsParticipants were relatives of patients with a formal diagnosis of dementia. Relatives were defined as caring or living closely to a patient. Participants were recruited with the help of care and welfare organizations.Outcome MeasuresThe main outcome measure was the (...) impact of the affiliate stigma on mental well-being of caring relatives.Results228 participants fully completed the survey. Women, relatives with a higher education and partners experienced more impact of the affiliate stigma on mental well-being than man, relatives with a lower education and relatives with another relationship to the person with dementia. The duration of dementia and the age of the caregiver had a clear significant effect on affiliate stigma.ConclusionThis study revealed that caregiver related features are predicting the presence of an affiliate stigma. Interventions to prevent or reduce the impact of this stigma might focus on these groups. Education about dementia and the impact on patients, relatives and the broader social context might alter the affiliate stigma surrounding dementia. (shrink)

Different characterizations of classes of shift dynamical systems via labeled digraphs, languages, and sets of forbidden words are investigated. The corresponding naming systems are analyzed according to reducibility and particularly with regard to the computability of the topological entropy relative to the presented naming systems. It turns out that all examined natural representations separate into two equivalence classes and that the topological entropy is not computable in general with respect to the defined natural representations. However, if a (...) specific labeled digraph representation - namely primitive, right-resolving labeled digraphs - of some class of shifts is considered, namely the shifts having the specification property, then the topological entropy gets computable. (shrink)

In a series of recent papers, Randall and Foulis have developed a generalized theory of probability (operational statistics) which is based on the notion of a physical operation. They have shown that the quantum logic description of quantum mechanics can be naturally imbedded into this generalized theory of probability. In this paper we shall investigate the role of entropy (in the sense of Shannon's theory of information) in operational statistics. We shall find that there are several related entropy (...) concepts in operational statistics. We shall examine the relationships between these different entropy concepts and examine their implications for the foundations of quantum theory. We shall also examine the extension of the Jaynes inference scheme to the operational statistics formalism, and apply the latter to the case of quantum statistical mechanics. (shrink)

Expected utility maximization problem is one of the most useful tools in mathematical finance, decision analysis and economics. Motivated by statistical model selection, via the principle of expected utility maximization, Friedman and Sandow (J Mach Learn Res 4:257–291, 2003a) considered the model performance question from the point of view of an investor who evaluates models based on the performance of the optimal strategies that the models suggest. They interpreted their performance measures in information theoretic terms and provided new generalizations of (...) Shannon entropy and Kullback–Leibler relative entropy and called them U-entropy and U-relative entropy. In this article, a utility-based criterion for independence of two random variables is defined. Then, Markov’s inequality for probabilities is extended from the U-entropy viewpoint. Moreover, a lower bound for the U-relative entropy is obtained. Finally, a link between conditional U-entropy and conditional Renyi entropy is derived. (shrink)

The essence of temporal universe creation is that any analytical solution has to comply with the boundary condition of our universe; dimensionality and causality constraints. The essence of this book is to show that everything has a price within our temporal (t > 0) universe; energy and time.

Background: Research concerning relatives’ participation in the everyday care related to persons living in special care units for persons with dementia is limited. Research questions: To examine relatives’ participation in their near one’s everyday care, the level of burden experienced and important factors for participation, in this special context. Design: The study had a cross-sectional design, and data collection was carried out by means of a study-specific questionnaire. Participants and context: A total of 233 relatives from 23 different special (...) care units participated. Ethical consideration: The study was approved by the Norwegian Social Science Data Services. Results: A great majority of relatives reported that they visited weekly and were the resident’s spokesperson, but seldom really participated in decisions concerning their everyday care. Participation was seldom reported as a burden. Discussion: This study indicated that relatives were able to make a difference to their near one’s everyday life and ensure quality of care based on their biographical expertise, intimate knowledge about and emotional bond with the resident. Since knowing the resident is a prerequisite for providing individualised care that is in line with the resident’s preferences, information concerning these issues is of utmost importance. Conclusion: This study prompts reflection about what it is to be a spokesperson and whether everyday care is neglected in this role. Even though relatives were satisfied with the care provided, half of them perceived their participation as crucial for the resident’s well-being. This indicated that relatives were able to offer important extras due to their biographical expertise, intimate knowledge about and emotional bond with the resident. Good routines securing that written information about the residents’ life history and preferences is available and used should be implemented in practice. (shrink)

Cross-situational learning is a mechanism for learning the meaning of words across multiple exposures, despite exposure-by-exposure uncertainty as to the word's true meaning. We present experimental evidence showing that humans learn words effectively using cross-situational learning, even at high levels of referential uncertainty. Both overall success rates and the time taken to learn words are affected by the degree of referential uncertainty, with greater referential uncertainty leading to less reliable, slower learning. Words are also learned less successfully and (...) more slowly if they are presented interleaved with occurrences of other words, although this effect is relatively weak. We present additional analyses of participants’ trial-by-trial behavior showing that participants make use of various cross-situational learning strategies, depending on the difficulty of the word-learning task. When referential uncertainty is low, participants generally apply a rigorous eliminative approach to cross-situational learning. When referential uncertainty is high, or exposures to different words are interleaved, participants apply a frequentist approximation to this eliminative approach. We further suggest that these two ways of exploiting cross-situational information reside on a continuum of learning strategies, underpinned by a single simple associative learning mechanism. (shrink)

Early modern humans developed mental capabilities that were immeasurably greater than those of non-human primates. We see this in the rapid innovation in tool making, the development of complex language, and the creation of sophisticated art forms, none of which we find in our closest relatives. While we can readily observe the results of this high-order cognitive capacity, it is difficult to see how it could have developed. We take up the topic of cave art and archeoacoustics, particularly the discovery (...) that cave art is often closely connected to the acoustic properties of the cave chambers in which it is found. Apparently, early modern humans were able to detect the way sound reverberated in these chambers, and they painted artwork on surfaces that were acoustic “hot spots,” i.e., suitable for generating echoes. We argue that cave art is a form of cross-modality information transfer, in which acoustic signals are transformed into symbolic visual representations. This form of information transfer across modalities is an instance of how the symbolic mind of early modern humans was taking shape into concrete, externalized language. We also suggest that the earliest rock art found in Africa may constitute one of the first fossilized proxies for the expression of full-fledged human linguistic behavior. (shrink)

According to Chen's Linguistic Savings Hypothesis, our native language affects our economic behavior. We present three studies investigating how cross-linguistic differences in the grammaticalization of future-time reference affect intertemporal choices. In a series of decision scenarios about finance and health issues, we let speakers of altogether five languages that represent FTR with increasing strength, that is, Chinese, German, Danish, Spanish, and English, choose between hypothetical sooner-smaller and later-larger reward options. While the LSH predicts a present-bias that increases with FTR-strength, (...) our decision makers preferred later-larger options and this future-bias increased with FTR-strength. In multiple regressions, the FTR-strength effect persisted when controlled for socioeconomic and cultural differences. We discuss why our findings deviate from the LSH and ask in how far the FTR-strength effect represents a habitual constitution of linguistic relativity or an instance of online decision framing. (shrink)

The relative reinforcing value of food measures how hard someone will work for a high-energy-dense food when an alternative reward is concurrently available. Higher RRV for HED food has been linked to obesity, yet this association has not been examined in low-income preschool-age children. Further, the development of individual differences in the RRV of food in early childhood is poorly understood. This cross-sectional study tested the hypothesis that the RRV of HED to low-energy-dense food would be greater in (...) children with obesity compared to children without obesity in a sample of 130 low-income 3- to 5-year-olds enrolled in Head Start classrooms in Central Pennsylvania. In addition, we examined individual differences in the RRV of food by child characteristics and food security status. The RRV of food was measured on concurrent progressive-ratio schedules of reinforcement. RRV outcomes included the last schedule reached for cookies and fruit, the breakpoint for cookies in proportion to the total breakpoint for cookies and fruit combined, and response rates. Parents completed the 18-item food security module to assess household food security status and the Behavioral Activation System scale to assess reward sensitivity. Pearson’s correlations and mixed models assessed associations between continuous and discrete child characteristics with RRV outcomes, respectively. Two-way mixed effects interaction models examined age and sex as moderators of the association between RRV and Body Mass Index z-scores. Statistical significance was defined as p < 0.05. Children with obesity had a greater cookie Pmax [F = 4.95, p = 0.03], higher RRV cookie [F = 4.28, p = 0.04], and responded at a faster rate for cookies [F = 17.27, p < 0.001] compared to children without obesity. Children with higher cookie response rates had higher BMIZ ; and RRV cookie was positively associated with BMIZ for older children and boys, but not younger children or girls. The RRV of food did not differ by household food security status. Low-income children with obesity showed greater motivation to work for cookies than fruit compared to their peers without obesity. The RRV of HED food may be an important contributor to increased weight status in boys and future research is needed to better understand developmental trajectories of the RRV of food across childhood. (shrink)

Suppose that the following describes an intelligible scenario. A subject is wired up to another's body in such a way that she has bodily experiences ‘as from the inside’ caused by states and events in the other body, that are subjectively indistinguishable from ordinary somatosensory perception of her own body. The supposed intelligibility of such so-called crossed wire cases constitutes a significant challenge to the claim that our somatosensory judgements are immune to error through misidentification relative to uses of (...) the first person pronoun. After all, the subject in this case is liable to commit precisely the sort of error ruled out by such a claim. In this paper I argue that the proponent of this challenge must establish at least two things: that the subject is committing an error of misidentification, and that her judgement shares its epistemic grounds with our ordinary somatosensory judgements. Neither condition, I argue, can be reached from the stipulations permitted into the starting descriptions of the cases. (shrink)

Jaynes's maximum entropy principle (MEP) is analyzed by considering in detail a recent controversy. Emphasis is placed on the inductive logical interpretation of “probability” and the concept of “total knowledge.” The relation of the MEP to relative frequencies is discussed, and a possible realm of its fruitful application is noted.

Hunt and Vitell''s General Theory (1992) is used in a cross-cultural comparison of U.S. and Taiwanese business practitioners. Results indicate that Taiwanese practitioners exhibit lower perceptions of an ethical issue in a scenario based on bribery, as well as milder deontological evaluations and ethical judgments relative to their U.S. counterparts. In addition, Taiwan respondents showed higher likelihood of making the payment. Several of the paths between variables in the theory are confirmed in both U.S. and Taiwan samples, with (...) summary data suggesting the Hunt and Vitell theory performs well in both U.S. and Taiwan. Some unanticipated linkages within the model were uncovered in the samples. Results and implications are discussed. (shrink)

The principle of maximum entropy is a general method to assign values to probability distributions on the basis of partial information. This principle, introduced by Jaynes in 1957, forms an extension of the classical principle of insufficient reason. It has been further generalized, both in mathematical formulation and in intended scope, into the principle of maximum relative entropy or of minimum information. It has been claimed that these principles are singled out as unique methods of statistical inference (...) that agree with certain compelling consistency requirements. This paper reviews these consistency arguments and the surrounding controversy. It is shown that the uniqueness proofs are flawed, or rest on unreasonably strong assumptions. A more general class of inference rules, maximizing the so-called Re[acute ]nyi entropies, is exhibited which also fulfill the reasonable part of the consistency assumptions. (shrink)

Information‐theoretic complexity metrics, such as Surprisal (Hale, 2001; Levy, 2008) and Entropy Reduction (Hale, 2003), are linking hypotheses that bridge theorized expectations about sentences and observed processing difficulty in comprehension. These expectations can be viewed as syntactic derivations constrained by a grammar. However, this expectation‐based view is not limited to syntactic information alone. The present study combines structural and non‐structural information in unified models of word‐by‐word sentence processing difficulty. Using probabilistic minimalist grammars (Stabler, 1997), we extend expectation‐based models to (...) include frequency information about noun phrase animacy. Entropy reductions derived from these grammars faithfully reflect the asymmetry between subject and object relatives (Staub, 2010; Staub, Dillon, & Clifton, 2017), as well as the effect of animacy on the measured difficulty profile (Lowder & Gordon, 2012; Traxler, Morris, & Seely, 2002). Visualizing probability distributions on the remaining alternatives at particular parser states allows us to explore new, linguistically plausible interpretations for the observed processing asymmetries, including the way that expectations about the relativized argument influence the processing of particular types of relative clauses (Wagers & Pendleton, 2016). (shrink)

Expected utility maximization problem is one of the most useful tools in mathematical finance, decision analysis and economics. Motivated by statistical model selection, via the principle of expected utility maximization, Friedman and Sandow (J Mach Learn Res 4:257–291, 2003a) considered the model performance question from the point of view of an investor who evaluates models based on the performance of the optimal strategies that the models suggest. They interpreted their performance measures in information theoretic terms and provided new generalizations of (...) Shannon entropy and Kullback–Leibler relative entropy and called them U-entropy and U-relative entropy. In this article, a utility-based criterion for independence of two random variables is defined. Then, Markov’s inequality for probabilities is extended from the U-entropy viewpoint. Moreover, a lower bound for the U-relative entropy is obtained. Finally, a link between conditional U-entropy and conditional Renyi entropy is derived. (shrink)

Motivated by the known mathematical and physical problems arising from the current mathematical formalization of the physical spatio-temporal continuum, as a substantial technical clarification of our earlier attempt (Etesi in Found Sci 25:327–340, 2020), the aim in this paper is twofold. Firstly, by interpreting Chaitin’s variant of Gödel’s first incompleteness theorem as an inherent uncertainty or fuzziness present in the set of real numbers, a set-theoretic entropy is assigned to it using the Kullback–Leibler relative entropy of a (...) pair of Riemannian manifolds. Then exploiting the non-negativity of this relative entropy an abstract Hawking-like area theorem is derived. Secondly, by analyzing Noether’s theorem on symmetries and conserved quantities, we argue that whenever the four dimensional space-time continuum containing a single, stationary, asymptotically flat black hole is modeled by the set of real numbers in the mathematical formulation of general relativity, the hidden set-theoretic entropy of this latter structure reveals itself as the entropy of the black hole (proportional to the area of its “instantaneous” event horizon), indicating that this apparently physical quantity might have a pure set-theoretic origin, too. (shrink)

The relevance of gravitational boundary degrees of freedom and their dynamics in gravity quantization and black hole information has been explored in a series of recent works. In this work we further progress by focusing keenly on the genuine gravitational boundary degrees of freedom as the origin of black hole entropy. Wald’s entropy formula is scrutinized, and the reason that Wald’s formula correctly captures the entropy of a black hole examined. Afterwards, limitations of Wald’s method are discussed; (...) a coherent view of entropy based on boundary dynamics is presented. The discrepancy observed in the literature between holographic and Wald’s entropies is addressed. We generalize the entropy definition so as to handle a time-dependent black hole. Large gauge symmetry plays a pivotal role. Non-Dirichlet boundary conditions and gravitational analogues of Coleman-De Luccia bounce solutions are central in identifying the microstates and differentiating the origins of entropies associated with different classes of solutions. The result in the present work leads to a view that black hole entropy is entanglement entropy in a thermodynamic setup. (shrink)

We model a black hole spacetime as a causal set and count, with a certain definition, the number of causal links crossing the horizon in proximity to a spacelike or null hypersurface Σ. We find that this number is proportional to the horizon's area on Σ, thus supporting the interpretation of the links as the “horizon atoms” that account for its entropy. The cases studied include not only equilibrium black holes but ones far from equilibrium.

Pour étendre la notion d'entropie, l'auteur tente de dégager la signification de la “probabilité relative” w de Boltzmann dans sa formule S = k.log.w. Celui-ci introduit implicitement une partition d'un ensemble E de molécules en classes d'équivalence, les divers états macroscopiques du gaz; w est le rapport de la probabilité de l'état dont on cherche à définir l'entropie à celle de l'état le plus improbable.L'auteur propose de généraliser le concept toutes les fois ob sur un ensemble probabilisable E il (...) sera possible de faire une partition.La “complexité d'une structure” peut être définie par le nombre d'aspects différents que peut prendre le graphe sous-jacent à celle-ci. Alors toute stricture a une probabilité d'occurrence, et l'on peut y définir une G-entropie.Appliquant ensuite ce concept à la théorie de l'information de Shannon, l'auteur montre que la quantité d'information apportée par un message est différente de la G-entropie, mais que les deux grandeurs y prennent fortuitement la même valeur. Le concept permet également d'introduire une information liée au message, une autre au “code”, et une information totale.Le concept d'émergence permet ensuite de comprendre la raison pour laquelle celle-ci s'accompagne d'une augmentation de G-neguentropie.L'entropie est considérée depuis Boltzmann comme une borne mesure du désordre d'un gaz, d'où son intérêt en morphogénèse, en théorie des systèmes, et de l'information. Cependant son application directe pose des problèmes, et il parait préférable de tenter auparavant de généraliser le concept en le randant plus abstrait. La première difficulté à laquelle on se heurte alors est l'interprétation du nombre w de la formule de Boltzmann. (shrink)

The aim of this study is to investigate how patterns of collaboration and scholarly independence are related to early stage researchers’ development in two multidisciplinary learning environments at a Swedish university. Based on interviews with leaders, supervisors, doctoral students, and post docs, results show how early stage researchers’ development is conditioned by their relative positions in time and space. Through the theoretical notions of ‘epistemic living space’ and ‘developmental networks’, four ways of experiencing the multidisciplinary learning environment were distinguished. (...) Overall, the environments provided a world of opportunities, where the epistemic living space entailed many possibilities for cross-disciplinary collaboration and development of scholarly independence among peers. However, depending on the members’ relative positions in time and space, this world became an alien world for the post docs who had been forced to become “over-independent” and find collaborators elsewhere. Moreover, it became an avoided world for absent mono-disciplinary supervisors and students who embodied “non-collective independence”, away from the environments’ community. By contrast, a joint world emerged for doctoral students located in the environment, which promoted their “independent positioning” and collaborative ambitions. Thus, early stage researchers’ collaboration and development of scholarly independence were optimised in a converged learning space, where the temporal and spatial conditions were integrated and equally conducive for learning. Based on these results, the authors provide suggestions for how to improve the integration of scholars who tend to develop away from the community because of their temporal and spatial positions. (shrink)

Natural and supernatural explanations are used to interpret the same events in a number of predictable and universal ways. Yet little is known about how variation in diverse cultural ecologies influences how people integrate natural and supernatural explanations. Here, we examine explanatory coexistence in three existentially arousing domains of human thought: illness, death, and human origins using qualitative data from interviews conducted in Tanna, Vanuatu. Vanuatu, a Melanesian archipelago, provides a cultural context ideal for examining variation in explanatory coexistence due (...) to the lack of industrialization and the relatively recent introduction of Christianity and Western education. We argue for the integration of interdisciplinary methodologies from cognitive science and anthropology to inform research on explanatory coexistence. (shrink)

This article discusses the relationship between a deconstructivist method in science and technology studies and the more recent moves towards a reconstructivist engagement with science and science policy making. Drawing on examples from the author's own research, the article identifies three forms of engagement and their relative utility and limitations. The article argues that these are typical of STS work that seeks direct engagement with science policy making and which could form the basis for a more "serviceable STS" that (...) retains its critical and independent perspective on science. The paper concludes by arguing that the analysis has important implications for the ways in which STS expertise can articulate with science policy making. (shrink)

Henrich et al. describe an innovative research program investigating cross-cultural differences in the selfishness axiom (in economic games) in humans, yet humans are not the only species to show such variation. Chimpanzees and capuchin monkeys show signs of deviating from the standard self-interest paradigm in experimental settings by refusing to take foods that are less valuable than those earned by conspecifics, indicating that they, too, may pay attention to relative gains. However, it is less clear whether these species (...) also show the other-regarding preferences seen in humans. (shrink)

This book demonstrates how, through cross-tradition engagement, insights from the Chinese philosophical tradition can work with relevant resources from modern logic and contemporary philosophy to enhance our understanding of two basic principles of logic: the law of identity and the law of non-contradiction. The law of identity and the law of non-contradiction are widely accepted principles in logic. However, there are disagreements as to how to understand and treat the genuine structures and contents of these two basic principles. This (...) book provides a holistic inquiry into these principles for the sake of enhancing our understanding and treatment of them from the vantage point of cross-tradition engagement. It begins by offering a philosophical interpretation of three classical texts in Chinese philosophy in their contexts: the Bai-Ma-Lun in Gongsun Long's texts, the Xiao-Qu in the Later Mohist texts, and Lao Zi's Dao-De-Jing in classical Daoism. The author explains an innovative dual-track characterization of relative identity that is informed by relevant resources from these texts as well as Western philosophical traditions. He shows how this cross-tradition engaging approach can make constructive and significant contributions to the jointly concerned fundamental issues of identity and reference in logic, philosophy of logic and language, metaphysics, as well as philosophy more generally. Cross-Tradition Engagement on the Laws of Logic will appeal to scholars and advanced students working in philosophy of logic, philosophy of language, Chinese philosophy, and comparative philosophy. (shrink)

Background: Due to the major changes occurring in the demographic composition of the world’s population, the number of older individuals is increasing, which puts pressure on the healthcare systems in many different countries. The involvement of volunteers and family members may become necessary to fulfil a patient’s needs for follow-up treatments and long-term care in their homes. Aim: This study aimed to explore how nurses and physicians experienced and addressed ethical challenges when they dealt with relatives in what have traditionally (...) been one-on-one consultations at two Norwegian hospital outpatient clinics. Research Design and Methods: A total of eight nurses and two physicians from two different hospitals participated in individual in-depth interviews. The transcribed interviews were analysed using an eclectic approach called ‘bricolage’ inspired by Kvale and Brinkmann. We combined cross-case thematic and theoretical normative analyses. Ethical considerations: The principles of voluntariness, confidentiality, withdrawal and anonymity were respected throughout the research process. In addition, the Norwegian Social Science Data Services approved this study. Findings: The findings showed that respect for a patient’s autonomy was used as an argument for delimiting the relatives’ access to the patient’s consultations. We found that there were insufficient routines in place for inviting and involving relatives in the patient consultations in the outpatient clinics. Discussion: The traditional Western attitudes towards the principles of patient autonomy will likely be challenged due to the growing need for family involvement in the care of a patient in the future. Conclusion: This study’s description of the nurses and physicians’ interpretations of ‘patient autonomy’ as a phenomenon uncover the need for systematic ethical deliberation in the clinical setting. On an organisational level, there is a strong indication of the need to discuss the routines that are in place to invite the next of kin to participate in such patient’s healthcare consultations. (shrink)

Rooth & Partee (1982) and Rooth (1985) have shown that the English-specific rule-by-rule system of PTQ can be factored out into function application plus two transformations for resolving type mismatch (type lifting and variable binding). Building on these insights, this article proposes a universal system for type-driven translation, by adding two more innovations: local type determination for gaps (generalizing Montague 1973) and a set of semantic filters (extending Cooper 1983). This system, dubbed Cross-Linguistic Semantics (XLS), is shown to account (...) for various phenomena — including scope relations in English and Greenlandic Eskimo, internally headed relative clauses in Lakhota, serial verbs in Yoruba and VP ellipsis in English. (shrink)